Center cyclicity of a family of quartic polynomial differential system

Isaac A. García, Jaume Llibre, Susanna Maza

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

© 2016, Springer International Publishing. In this paper we study the cyclicity of the centers of the quartic polynomial family written in complex notation as (Formula presented.), where A, B, C∈ C. We give an upper bound for the cyclicity of any nonlinear center at the origin when we perturb it inside this family. Moreover we prove that this upper bound is sharp.
Original languageEnglish
Article number34
JournalNonlinear Differential Equations and Applications
Volume23
Issue number3
DOIs
Publication statusPublished - 1 Jun 2016

Keywords

  • Bautin ideal
  • Center
  • cyclicity
  • limit cycle
  • polynomial vector fields

Fingerprint Dive into the research topics of 'Center cyclicity of a family of quartic polynomial differential system'. Together they form a unique fingerprint.

Cite this